Solving the Dirac equation (REF ) near the event horizon
of black hole, one gets a set of positive frequency outgoing solutions for
the inside and outside regions of the event horizon,
[1]}, [2]}
\(\phi _k^{I+}=\xi e^{-i\omega \mu }, \ \ \phi _k^{II+}=\xi e^{i\omega \mu },\) 
